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Activation functions are core components of all deep learning architectures. Currently, the most popular activation functions are smooth ReLU variants like GELU and SiLU. These are self-gated activation functions where the range of the…

神经与进化计算 · 计算机科学 2024-06-03 Allen Hao Huang

We define the local complexity of a neural network with continuous piecewise linear activations as a measure of the density of linear regions over an input data distribution. We show theoretically that ReLU networks that learn…

机器学习 · 计算机科学 2025-07-15 Niket Patel , Guido Montufar

In this paper we investigate the performance of different types of rectified activation functions in convolutional neural network: standard rectified linear unit (ReLU), leaky rectified linear unit (Leaky ReLU), parametric rectified linear…

机器学习 · 计算机科学 2015-11-30 Bing Xu , Naiyan Wang , Tianqi Chen , Mu Li

The growing cybersecurity threats make it essential to use high-quality data to train Machine Learning (ML) models for network traffic analysis, without noisy or missing data. By selecting the most relevant features for cyber-attack…

密码学与安全 · 计算机科学 2024-07-09 João Vitorino , Miguel Silva , Eva Maia , Isabel Praça

A CORDIC-based configuration for the design of Activation Functions (AF) was previously suggested to accelerate ASIC hardware design for resource-constrained systems by providing functional reconfigurability. Since its introduction, this…

硬件体系结构 · 计算机科学 2026-02-13 Omkar Kokane , Gopal Raut , Salim Ullah , Mukul Lokhande , Adam Teman , Akash Kumar , Santosh Kumar Vishvakarma

In recent years novel activation functions have been proposed to improve the performance of neural networks, and they show superior performance compared to the ReLU counterpart. However, there are environments, where the availability of…

计算机视觉与模式识别 · 计算机科学 2022-07-29 Ákos Utasi

Though deep neural networks have achieved significant progress on various tasks, often enhanced by model ensemble, existing high-performance models can be vulnerable to adversarial attacks. Many efforts have been devoted to enhancing the…

机器学习 · 计算机科学 2019-05-30 Tianyu Pang , Kun Xu , Chao Du , Ning Chen , Jun Zhu

Deep neural networks are known to be vulnerable to adversarial perturbations, which are small and carefully crafted inputs that lead to incorrect predictions. In this paper, we propose DeepDefense, a novel defense framework that applies…

机器学习 · 计算机科学 2025-11-19 Ci Lin , Tet Yeap , Iluju Kiringa , Biwei Zhang

Deep Learning methods have become state-of-the-art for solving tasks such as Face Recognition (FR). Unfortunately, despite their success, it has been pointed out that these learning models are exposed to adversarial inputs - images to which…

计算机视觉与模式识别 · 计算机科学 2020-11-23 Fabio Valerio Massoli , Fabio Carrara , Giuseppe Amato , Fabrizio Falchi

Recurrent Neural Networks (RNNs) are widely used to model sequential data in a wide range of areas, such as natural language processing, speech recognition, machine translation, and time series analysis. In this paper, we model the training…

最优化与控制 · 数学 2024-08-20 Yue Wang , Chao Zhang , Xiaojun Chen

Adversarially robust models are locally smooth around each data sample so that small perturbations cannot drastically change model outputs. In modern systems, such smoothness is usually obtained via Adversarial Training, which explicitly…

机器学习 · 计算机科学 2024-10-01 Adrián Rodríguez-Muñoz , Tongzhou Wang , Antonio Torralba

Amongst others, the adoption of Rectified Linear Units (ReLUs) is regarded as one of the ingredients of the success of deep learning. ReLU activation has been shown to mitigate the vanishing gradient issue, to encourage sparsity in the…

机器学习 · 统计学 2021-10-14 Nicola Picchiotti , Marco Gori

Consider the multivariate nonparametric regression model. It is shown that estimators based on sparsely connected deep neural networks with ReLU activation function and properly chosen network architecture achieve the minimax rates of…

统计理论 · 数学 2020-09-15 Johannes Schmidt-Hieber

Deep neural networks paved the way for significant improvements in image visual categorization during the last years. However, even though the tasks are highly varying, differing in complexity and difficulty, existing solutions mostly build…

机器学习 · 计算机科学 2019-10-29 Mina Basirat , Peter M. Roth

The ReLU activation function (AF) has been extensively applied in deep neural networks, in particular Convolutional Neural Networks (CNN), for image classification despite its unresolved dying ReLU problem, which poses challenges to…

计算机视觉与模式识别 · 计算机科学 2021-11-05 L. Parisi , D. Neagu , R. Ma , F. Campean

In this work, we provide a characterization of the feature-learning process in two-layer ReLU networks trained by gradient descent on the logistic loss following random initialization. We consider data with binary labels that are generated…

机器学习 · 计算机科学 2023-09-15 Spencer Frei , Niladri S. Chatterji , Peter L. Bartlett

In this paper, we introduce the Hyperbolic Tangent Exponential Linear Unit (TeLU), a novel neural network activation function, represented as $f(x) = x{\cdot}tanh(e^x)$. TeLU is designed to overcome the limitations of conventional…

机器学习 · 计算机科学 2024-02-06 Alfredo Fernandez , Ankur Mali

Deep neural networks, particularly those employing Rectified Linear Units (ReLU), are often perceived as complex, high-dimensional, non-linear systems. This complexity poses a significant challenge to understanding their internal learning…

机器学习 · 计算机科学 2025-11-11 Longqing Ye

Great successes of deep neural networks have been witnessed in various real applications. Many algorithmic and implementation techniques have been developed, however, theoretical understanding of many aspects of deep neural networks is far…

神经与进化计算 · 计算机科学 2020-07-07 Wei Gao , Zhi-Hua Zhou

Active learning methods aim to improve sample complexity in machine learning. In this work, we investigate an active learning scheme via a novel gradient-free cutting-plane training method for ReLU networks of arbitrary depth and develop a…

机器学习 · 计算机科学 2025-06-26 Erica Zhang , Fangzhao Zhang , Mert Pilanci